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Idempotent Ideals and the Igusa-Todorov Functions

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Abstract

Let Λ be an artin algebra and \(\mathfrak {A}\) a two-sided idempotent ideal of Λ, that is, \(\mathfrak {A}\) is the trace of a projective Λ-module P in Λ. We consider the categories of finitely generated modules over the associated rings \({\Lambda }/\mathfrak {A}, {\Lambda }\) and Γ = EndΛ(P)op and study the relationship between their homological properties via the Igusa-Todorov functions.

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Authors and Affiliations

  1. Instituto de Matemática de Bahía Blanca, Universidad Nacional del Sur, Av. Alem 1253, B8000CPB, Bahía, Blanca, Argentina

    María Andrea Gatica & María Inés Platzeck

  2. Instituto de Matemática y Estadística Rafael Laguardia (IMERL), Universidad de la República, J. Herrera y Reissig 565, C.P. 11300, Montevideo, Uruguay

    Marcelo Lanzilotta

Authors
  1. María Andrea Gatica
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  2. Marcelo Lanzilotta
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  3. María Inés Platzeck
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Corresponding author

Correspondence to María Andrea Gatica.

Additional information

Presented by Michel Van den Bergh.

The authors thank the financial support received from Universidad de la República, Montevideo, Uruguay, from Universidad Nacional del Sur, Bahía Blanca, Argentina and from CONICET, Argentina

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Gatica, M.A., Lanzilotta, M. & Platzeck, M.I. Idempotent Ideals and the Igusa-Todorov Functions. Algebr Represent Theor 20, 275–287 (2017). https://doi.org/10.1007/s10468-016-9641-4

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  • DOI: https://doi.org/10.1007/s10468-016-9641-4

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